Whether the major histocompatibility complex (MHC) affects or not mate choice in humans seems mired in controversy at the moment. Without implying that looking at non-human primates would solve this controversy, I'm still curious if some sort of scientific consensus could be reached in non-human primates regarding MHC and mate selection.

(p. 680) Nonhuman primates tend to consistently prefer MHC-dissimilar mates (Fig. 4a), but our power to detect a significant average effect is limited by our small sample size (N=6) and by the addition of random effects to control for pseudoreplication.

Here are some of the key figures (these figures also include data for humans, omitted here). However, note that the overall estimates in this figure do not account for the effects of study ID and phylogenetic relatedness (see Figure 1 in the paper), which tend to make the confidence intervals wider/weaken the statistical significance.